The effects of free-electron scattering at film surfaces and at the interface upon the reflection, transmission, and absorption coefficients of metallic double-layer films are studied on the basis of the Maxwell equations and the Boltzmann transport theory. In order to calculate the surface electric current generated by the electric field of an incident electromagnetic wave, the microscopic transport parameters analogous to those introduced in the existing models of dc conductivity are used. The anomalous nature of the skin effect is taken into account. Formulas found for the optical coefficients are valid in the near-infrared, visible, and ultraviolet spectral ranges as well as at low frequencies where the skin effect is nearly classical. It is also shown that the model developed may be used to find the optical coefficients for systems which consist of a bulk metallic base and metallic covering. The results obtained for both kinds of structures are apparently dependent on the values of scattering parameters of electrons at the surfaces and the interface. Among others, the oscillatory nature of the absorption spectrum is observed. The amplitude and period of the oscillations change with the boundary conditions for free-electron scattering. This enables the verification of the values of the scattering parameters found.
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Dryzek et al. (1986) studied this question.
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